Meaning of algebraic group | Babel Free

Definitions

A group that is an algebraic variety.

Equivalents

Examples

“The purpose of this article is to discuss⟳ various results concerning the subgroups of simple algebraic groups G and of the corresponding finite groups of Lie⟳ type⟳ G^F (where F is a Frobenius morphism).”

“We begin⟳ by showing how to make⟳ the quotient of an affine algebraic group by a normal algebraic subgroup into an affine algebraic group, and we determine⟳ the structure⟳ of commutative affine algebraic groups.”

“2011, Teresa Crespo, Zbigniew Hajto, Algebraic Groups and Differential Galois Theory, American Mathematical Society, page 75, We point⟳ out that some properties of an algebraic group are more easily read⟳ in its Lie⟳ algebra. An important property of an algebraic group is its solvability.”

CEFR level